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Finding the Fourth Proportional to 742.91, 1,113.95 and 550.13

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Solution

The fourth proportional to 742.91, 1,113.95 and 550.13 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,113.95 = 550.13 : x
  2. Step 2: Convert to fraction form
    742.91/1,113.95 = 550.13/x
  3. Step 3: Cross multiply
    742.91x = 1,113.95 × 550.13
  4. Step 4: Simplify right side
    742.91x = 612,813.12
  5. Step 5: Solve for x
    x = 612,813.12/742.91
  6. Step 6: Final answer
    x = 824.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.